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Finding the Fourth Proportional to 172.48, 256.58 and 170.74

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Solution

The fourth proportional to 172.48, 256.58 and 170.74 is: 253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.48 : 256.58 = 170.74 : x
  2. Step 2: Convert to fraction form
    172.48/256.58 = 170.74/x
  3. Step 3: Cross multiply
    172.48x = 256.58 × 170.74
  4. Step 4: Simplify right side
    172.48x = 43,808.47
  5. Step 5: Solve for x
    x = 43,808.47/172.48
  6. Step 6: Final answer
    x = 253.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.